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8223866928 = 243326372383
BaseRepresentation
bin1111010100010111…
…00100000000110000
3210020010122201121000
413222023210000300
5113320302220203
63440014002000
7410536500264
oct75213440060
923203581530
108223866928
113540181a42
1217161a6300
13a10a35964
145803000a4
15331ebb4a3
hex1ea2e4030

8223866928 has 80 divisors (see below), whose sum is σ = 23695626240. Its totient is φ = 2730828096.

The previous prime is 8223866927. The next prime is 8223866929. The reversal of 8223866928 is 8296683228.

It is an interprime number because it is at equal distance from previous prime (8223866927) and next prime (8223866929).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (8223866923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77425 + ... + 149807.

It is an arithmetic number, because the mean of its divisors is an integer number (296195328).

Almost surely, 28223866928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8223866928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11847813120).

8223866928 is an abundant number, since it is smaller than the sum of its proper divisors (15471759312).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8223866928 is a wasteful number, since it uses less digits than its factorization.

8223866928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72663 (or 72651 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 8223866928 is about 90685.5386927817. The cubic root of 8223866928 is about 2018.4842178916.

The spelling of 8223866928 in words is "eight billion, two hundred twenty-three million, eight hundred sixty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 263 432 526 789 1052 1578 2104 2367 3156 4208 4734 6312 7101 9468 12624 14202 18936 28404 37872 56808 72383 113616 144766 217149 289532 434298 579064 651447 868596 1158128 1302894 1737192 1954341 2605788 3474384 3908682 5211576 7817364 10423152 15634728 19036729 31269456 38073458 57110187 76146916 114220374 152293832 171330561 228440748 304587664 342661122 456881496 513991683 685322244 913762992 1027983366 1370644488 2055966732 2741288976 4111933464 8223866928